Respuesta :

We have the following two points given:

[tex](x_1=3,y_1=8)(x_2=2,y_2=2)[/tex]

And we want to find the SLOPE intercept form equation given by:

[tex]y=mx+b[/tex]

Where m represent the slope given by:

[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{2-8}{2-3}=6[/tex]

And we can find the intercept b using one of the two points given like this:

[tex]2=6(2)+b\rightarrow b=2-12=-10[/tex]

And then our equation would be given by:

[tex]y=6x-10[/tex]

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